Yichen Tong

collaborators

3 papers

math.AT2022

Self-Closeness Numbers of Rational Mapping Spaces

Yichen Tong

For a closed connected oriented manifold $M$ of dimension $2 n$ , it was proved by Møller and Raussen that the components of the mapping space from $M$ to $S^{2 n}$ have exactly two d…

math.AT2022

Homotopy commutativity in Hermitian symmetric spaces

Daisuke Kishimoto, Masahiro Takeda, Yichen Tong

Ganea proved that the loop space of $C P^{n}$ is homotopy commutative if and only if $n = 3$ . We generalize this result to that the loop spaces of all irreducible Hermitian sym…

math.AT2021

Self-Closeness Number of Non-Simply-Connected Spaces

Yichen Tong

The self-closeness number $N E (X)$ of a space $X$ is the least integer $k$ such that any self-map is a homotopy equivalence whenever it is an isomorphism in the $n$ -th hom…